The bound would also have to be substantially less than 3^^^^3.
As you know, if there is a bound, without loss of generality we can say all utilities go from 0 to 1.
Repairing your claim to take that into account, if you’re being mugged for $5, and the plausibility of the mugger’s claim is 1/X where X is large, and the utility the mugger promises you is about 1, then you get mugged if your utility for $5 is less than 1/X, roughly. So I agree that there are utility functions that would result in the mugging, but they don’t appear especially simple or especially consistent with observed human behavior, so the mugging doesn’t seem likely.
Now, if the programming language used to compute the prior on the utility functions has a special instruction that loads 3^^^^3 into an accumulator with one byte, maybe the mugging will look likely. I don’t see any way around that.
The bound would also have to be substantially less than 3^^^^3.
As you know, if there is a bound, without loss of generality we can say all utilities go from 0 to 1.
Repairing your claim to take that into account, if you’re being mugged for $5, and the plausibility of the mugger’s claim is 1/X where X is large, and the utility the mugger promises you is about 1, then you get mugged if your utility for $5 is less than 1/X, roughly. So I agree that there are utility functions that would result in the mugging, but they don’t appear especially simple or especially consistent with observed human behavior, so the mugging doesn’t seem likely.
Now, if the programming language used to compute the prior on the utility functions has a special instruction that loads 3^^^^3 into an accumulator with one byte, maybe the mugging will look likely. I don’t see any way around that.